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Finding the Fourth Proportional to 8,522.96, 12,785.02 and 2,977.70

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Solution

The fourth proportional to 8,522.96, 12,785.02 and 2,977.70 is: 4,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.96 : 12,785.02 = 2,977.70 : x
  2. Step 2: Convert to fraction form
    8,522.96/12,785.02 = 2,977.70/x
  3. Step 3: Cross multiply
    8,522.96x = 12,785.02 × 2,977.70
  4. Step 4: Simplify right side
    8,522.96x = 38,069,954.05
  5. Step 5: Solve for x
    x = 38,069,954.05/8,522.96
  6. Step 6: Final answer
    x = 4,466.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.